Effects of gravity rainbow on scalar bosonic and oscillator fields in Bonnor-Melvin space-time with a cosmological constant

Abstract

In this paper, we explore the relativistic quantum motion of spin-zero scalar charge-free particles influenced by rainbow gravity's (RG's) in Bonnor-Melvin magnetic space-time, a four-dimensional solution featuring a positive cosmological constant. We solve the Klein-Gordon equation in this scenario by using two sets of rainbow function: (i) $f(\chi )=\frac{1}{(1-\beta \chi )}$,\,\, $h(\chi )=1$ and (ii) $f(\chi )=\frac{1}{(1-\beta \chi )}=h(\chi )$, where $0<\chi \left(=\frac{|E|}{E_p}\right)\le 1$ with $E_p$ being the Planck's energy, $E$ is the particle's energy, and $\beta$ is the rainbow parameter. Furthermore, we study the relativistic quantum oscillator through the Klein-Gordon oscillator equation in the same Bonnor-Melvin magnetic space-time under RG effects. Employing the first pair of rainbow function, we obtain an approximate eigenvalue solution of the quantum oscillator fields. Notably, we demonstrate that the relativistic energy profile of scalar and oscillator particles are influenced by the topology of the geometry and the cosmological constant which is related with the magnetic field strength lies along the symmetry axis. Additionally, we see the impact of rainbow parameter on these approximate relativistic energy profiles in both quantum systems.

23 pages, 8 figures, improved version published in EPJC

References in corpus (26)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• Absence of an Effective Horizon for Black Holes in Gravity's Rainbow
• Geodesic Structure of the Schwarzschild Black Hole in Rainbow Gravity
• Charging axisymmetric space-times with cosmological constant
• Modified Dispersion Relations lead to a finite Zero Point Gravitational Energy
• Modified (A)dS Schwarzschild black holes in Rainbow spacetime
• A Lagrangian for DSR Particle and the Role of Noncommutativity
• Quasinormal modes of black holes in f(T) gravity
• Scalar bosons under the influence of noninertial effects in the cosmic string spacetime
• Expansion of magnetic neutron stars in an energy (in)dependent spacetime
• Gravitational Collapse in Gravity's Rainbow
• Bonnor-Melvin universe with a cosmological constant
• Casimir Effect in the Rainbow Einstein's Universe
• Study of scalar particles through the Klein-Gordon equation under rainbow gravity effects in Bonnor-Melvin-Lambda space-time
• Feshbach-Villars oscillator (FVO) in Kaluza-Klein Theory (KKT)
• Statistical proerties of the two-dimensional Feshbach-illars oscillator (FVO) in the rotating cosmic string
• Casimir Effect in the Kerr Spacetime with Quintessence
• Scalar fields in Bonnor-Melvin Universe with potential: A study of dynamics of spin-0 particles-antiparticles
• Effect of rainbow function on the structural properties of dark energy star
• Rainbow's Stars
• Effect of massive graviton on dark energy star structure
• Stable three-dimensional (un)charged AdS gravastars in gravity's rainbow
• Dark Energy Star in Gravity's Rainbow
• Cosmological magnetic field---the boost-symmetric case
• Quasinormal Modes in Noncommutative Schwarzschild black holes
• Quantum dynamics of spin-0 particles in a cosmological space-time

Cited by in corpus (3)

• On the Klein-Gordon bosonic fields in the Bonnor-Melvin spacetime with a cosmological constant in rainbow gravity: Bonnor-Melvin Domain Walls
• Klein-Gordon particles in a nonuniform external magnetic field in Bonnor-Melvin rainbow gravity background
• Bound-state solutions for the charged Dirac oscillator in a rotating frame in the Bonnor-Melvin-Lambda spacetime